Abstract
The error estimate of the integral kernel for the Trotter product formula for Schrödinger operators is shown. A basic tool for doing so is the Feynman-Kac formula based on the pinned Brownian motion. This formula enables us to express the integral kernel in handleable form and hence estimate it. As a consequence the Trotter product formula in the $L_p$ operator norm is obtained.
Citation
Satoshi Takanobu. "On the error estimate of the integral kernel for the Trotter product formula for Schrödinger operators." Ann. Probab. 25 (4) 1895 - 1952, October 1997. https://doi.org/10.1214/aop/1023481116
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